Course curriculum

  • 1

    DAY 0: GET THE MOST OUT OF THIS REACH AHEAD

    • Grade 9 to 10 Reach Ahead Program Classes, Day 0 to Day 11

    • How to remember math?

    • How to use Ontario Math by Edison

    • Why do a Reach Ahead?

    • How does this Grade 9 to 10 Reach Ahead work?

  • 2

    DAY 1: EASY MATH PAGES

    • What’s the purpose of an Easy Math Page?

    • What a blank Easy Math Page looks like. You'll use these to create your own Pages

    • Now you get to read two students Easy Math Pages

    • Here's an Easy Math Page created by a student - Grade 9 Lines that comes up in Grade 10 math

    • Here's an Easy Math Page created by a student who was doing the 9-10 Reach Ahead - it's a Quadratics question

    • Now that you know what an Easy Math Page is, it's time for you to Create, Read and Assess

    • Print this Easy Math Page for Multiply, then Create, Read, Assess

    • Edison's Easy Math Page for the word Multiply

    • Now, you know all about Easy Math Pages

  • 3

    DAY 3: Grade 8 & 9 Review Quiz (with solutions)

    • Grade 8 & 9 Review Quiz details

    • Print these Day 3 Easy Math Pages, then Create, Read, Assess

    • Expand 3(x+2)

    • Solve x/2 = 5

    • Solve 3/x = 5

    • Solve 2x + 3 = 7

    • Solve 2(x-3) = 8(8-x)

    • Rewrite 2x - 4y + 8 = 0 in y = mx + b form

    • For 2x - 4y + 8 = 0. Find a) x- intercept and b) y-intercept

    • Graph y = 3x + 2 with a Table of Values

    • Given (-3,-5) and (1,3), Find a) Slope, b) y-intercept and c) Equation of the line

    • Find the equation of the line that is parallel to y = 2x + 4

  • 4

    DAY 4: LINEAR SYSTEMS - Solving Linear Systems

    • You're about to do some grade 10 math, Linear Systems

    • Print these Day 4 Easy Math Pages, then Create, Watch, Assess

    • Intro to Linear Systems

    • Solve the Linear System y = 2x + 3 and y = -2x – 5 by Graphing

    • Quiz & Qs: Page 0 Outline, Page 1-4 Solving Linear Systems by Graphing

    • Solve the Linear System y = 1/4 x - 5 and 3x + 4y - 4 = 0 by Substitution

    • Quiz & Qs: Page 5-8 Solving Linear Systems by Substitution

  • 5

    DAY 5: LINEAR SYSTEMS - Word Questions

    • Print these Day 5 Easy Math Pages, then Create, Watch, Assess

    • Word Question: Which cell phone package is better?

    • Word Question: Find the Numbers

    • Word Question: Find their Ages

    • Quiz & Qs: Page 13-16 Word Questions in Linear Systems

  • 6

    DAY 6: COORDINATE GEOMETRY

    • Print these Day 6 Easy Math Pages, then Create, Watch, Assess

    • Find midpoint of line segment P(1,1) and Q(3,5)

    • Find distance of line segment P(1,1) and Q(3,5)

    • Quiz & Qs: Page 0 Outline, Page 1-4 Distance Between Two Points and Midpoint

    • What Type of Triangle is formed by coordinates P(2,3), Q(-3,2), R(0,0)?

    • Quiz & Qs: Page 5-8 Types of Triangles & Quadrilaterals

    • Given P(-3,1), Q(2,5), R(5,3), Find equation of the median from Q.

    • Quiz & Qs: Page 9-12 Types of Lines 1) Medians, 2) Perpendicular Bisectors, and 3) Altitudes

  • 7

    DAY 7: INTRO TO QUADRATICS & QUADRATIC EXPRESSIONS (Evaluate, Simplify, Expand, Expand & Simplify)

    • Print these Day 7 Easy Math Pages, then Create, Watch, Assess

    • What is Quadratics?

    • 1. Evaluate x^2 + 5x + 6, if x=2

    • 2. Simplify x^2 + 2x + 3x + 6

    • 3. Expand x(x+3)

    • 4. Expand and Simplify (x+3)(x+2)

    • Quiz & Qs: Page 0 Outline, Page 1-4 Expanding and Simplifying Binomials

  • 8

    DAY 8: QUADRATIC EXPRESSIONS - Factoring (Greatest Common Factor & Grouping)

    • Factoring ... didn't I do that in grade 7 and 8?

    • Print these Day 8 Easy Math Pages then Create, Watch, Assess

    • 1. Factor x^2 + 3x using Rectangles

    • Factor x^2 + 3x using Greatest Common Factor (Factoring Rule #1)

    • Quiz & Qs: Page 9-12, Common Factoring

    • Factor x^2 + 2x + 3x + 6, using Algebra Tiles

    • 2. Factor x^2 + 3x + 2x + 6 by Rectangles

    • Quiz & Qs: Page 13-16, Factoring by Grouping

  • 9

    DAY 9: QUADRATIC EXPRESSIONS: Factoring trinomials (Decomposition)

    • Print these Day 9 Easy Math Pages then Create, Watch, Assess

    • Factor x^2 + 5x + 6, using Algebra Tiles

    • 3. Factor x^2 + 5x + 6 by Rectangles

    • Quiz & Qs: Page 17-20, Factoring Trinomials

    • Factor 2x^2 - x -3, using Algebra Tiles

    • 6. Factor 2x^2 - x- 3 using Rectangles

    • Qs Page 25, Factoring Trinomials when a not equal to 1

    • 7. Factor 4x^2 - 9 with Rectangles

  • 10

    DAY 10: QUADRATIC EQUATIONS - Solve by Isolating & Solve by Factoring

    • Print these Day 8 Easy Math Pages then Create, Watch, Assess

    • 1. Solve x^2 = 9

    • 2. Solve by isolating (x-1)^2 - 16 = 0

    • Quiz & Qs: Page 0-Outline, Page 1-4, Solve by Isolating

    • Solve x(x+3) = 0

    • Solve (x+3)(x+2) = 0

    • Solve x^2 +5x + 6 = 0

    • Solve 6x^2 - 5x - 6 = 0, visually

    • Quiz & Qs: Page 9-12, Solving by Factoring

  • 11

    DAY 11: QUADRATIC RELATIONS - Graph

    • Print these Day 11 Easy Math Pages then Create, Watch, Assess

    • 1. Graph y = x^2, a) with Table of Values and b) Find mirror points

    • 2. Graph y = x^2 - 2x – 8, a) Table of Values and then b) Find Mirror Points

    • 3. Graph y = x^2 - 2x – 8, by finding x-intercepts (a.k.a. Mirror Points)

    • Quiz & Qs: Page 0 - Outline, Page 1-4, Graphing from Standard Form

    • 5. Graph y = - (x+4)(x-2) by finding x-intercepts (aka Mirror Points)

    • Quiz & Qs: Page 5-8, Graphing from Factored Form

    • For the Quad Relation, y = (x+1)^2 - 9, find Vertex with a Table of Values